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Finding the Fourth Proportional to 9,213.95, 12,715.59 and 5,235.73

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Solution

The fourth proportional to 9,213.95, 12,715.59 and 5,235.73 is: 7,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.95 : 12,715.59 = 5,235.73 : x
  2. Step 2: Convert to fraction form
    9,213.95/12,715.59 = 5,235.73/x
  3. Step 3: Cross multiply
    9,213.95x = 12,715.59 × 5,235.73
  4. Step 4: Simplify right side
    9,213.95x = 66,575,396.03
  5. Step 5: Solve for x
    x = 66,575,396.03/9,213.95
  6. Step 6: Final answer
    x = 7,225.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.